document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=995177>Question 995177</A>: <I><SPAN STYLE=\"word-break: break-all;\"> y=18x-9<BR>\n" );
document.write( "-108x+6y=-54\r<BR>\n" );
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document.write( "Graph and describe consistent,dependent etc. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #614024 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52788)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=614024\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28y=18x-9%2C%0D%0A-108x%2B6y=-54%29 ALIGN=MIDDLE  ALT=\"system%28y=18x-9%2C%0D%0A-108x%2B6y=-54%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "Rewrite it in the standard form\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%2818x+-+y+=+-9%2C%0D%0A-108x+%2B+6y+=+-54%29 ALIGN=MIDDLE  ALT=\"system%2818x+-+y+=+-9%2C%0D%0A-108x+%2B+6y+=+-54%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "The rows of coefficients are proportional with the proportionality coefficient &nbsp;-6 &nbsp;(or &nbsp;<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-1%2F6 ALIGN=MIDDLE  ALT=\"-1%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" >). &nbsp;The right side terms are proportional with the same coefficient. \r<BR>\n" );
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document.write( "Hence, &nbsp;the equations are &nbsp;<U>dependent</U>. &nbsp;The straight lines that correspond to these equations are parallel. &nbsp;Moreother, &nbsp;they have the common point &nbsp;(x,y) = &nbsp;(0,-9) \r<BR>\n" );
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document.write( "and, &nbsp;therefore, coincide. &nbsp;Hence, &nbsp;the system is &nbsp;<U>consistent</U>.\r<BR>\n" );
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document.write( "See the lesson &nbsp;<A  rel=nofollow HREF=http://www.algebra.com/algebra/homework/coordinate/lessons/Geom-interpret-of-the-lin-system-of-two-eqns-with-two-unknowns.lesson>Geometric interpretation of the linear system of two equations in two unknowns</A>&nbsp; in this site.\r<BR>\n" );
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